Question

Which is the recursive formula for the explicitly defined sequence?
an = 8n-3

Answer 1

Answer :
`a_(n+1)=a_n+8`

Explanation:

The given explicit formula :
`a_n=8n-3` , where n is a natural number.

At n=1 ,
`a_1=8-3=5`

At n=2,
`a_2=8(2)-3=16-3=13`

At n=3 ,
`a_3=8(3)-3=24-3=21`

We can see the common difference is 8.

So we can write
`a_(n+1)=a_n+8`

Hence, the recursive formula for the explicitly defined sequence is
`a_(n+1)=a_n+8`